Question

7.
Kirti has 8 dolls and 7 hair clips. How many different
combinations of 1 doll and I hair clip can she make?
A. 10
B., 72
C. 56
D. 24​

Answer 1

The different combinations of 1 doll and 1 hair clips that can be made from 1 doll and 7 hair clips is 56.

• The number of n different things taken r at a time is given by ${}^nC_r$.
• Therefore, 8 dolls taken 1 at a time is given by ${}^8C_1$ and 7 hair clips taken 1 at a time will be ${}^8C_1$.
• Now taking both together we get as,

Number of different combinations of 1 hair clip and 1 doll together will be

${}^8C_1$ × ${}^7C_1$ = 8 × 7 =56.

where, ${}^nC_r$ = $\frac{n!}{(n-r)! \ r!}$.

Answer 2

Answer:

She can make 56 different combinations.

Step-by-step explanation:

Kirti has number of dolls = 8

She has number of hair clips = 7

She can make different combination of  1 doll and 1 hair clip = 8 × 7

= 56 combinations

Option C. 56

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