Question

kirti has 8 dolls and 7 hair clips.how many different combinations of 1 doll and 1 hair clips can she make​

Answer 1

Answer:

7

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given Kirti has 8 dolls and 7 hair clips. how many different combinations of 1 doll and 1 hair clips can she make

• Number of dolls Kirti has is 8
• Number of hair clips Kirti has is 7
• We need to find the combination of 1 doll and 1 hair clip.
• So combination for 1 doll will be 8 C 1
•  We know that n Cr = n! / r! (n – r)!
• So 8 C 1 = 8! / 1! (8 – 1)!
•             = 8! / 7!
•            = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 / 7 x 6 x 5 x 4 x 3 x 2 x 1
•           = 8
• Now combination for 7 C 1 we get
• So 7 C 1 = 7! / 1! (7 – 1)!
•              = 7! / 6!
•               = 7 x 6 x 5 x 4 x 3 x 2 x 1 / 6 x 5 x 4 x 3 x 2 x 1
•               = 7
• So different combinations Kirti can make will be 8 x 7 = 56 ways.

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