Question

6.
How many six digit numbers can be formed using all the digits 1, 2, 3, 0, 7, 9 ?
7.
In how many ways can 5 boys and 3 girls be arranged in a row such that all the boys are together?​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

answer is 600

Step-by-step explanation:

Using all the digits 1, 2, 3, 0, 7, 9, six digit numbers are to be formed.

∴ Excluding digit 0, one of the five digits can be placed at the first place in 5P1 ways

Now, remaining 5 digits (including 0) can be arranged in remaining 5 places in 5P5 ways.

∴ Total permutations for six digit numbers

= 5P1 × 5P5

= 5 × 5!

= 5 × 120

= 600

Hence, 600 numbers of 6 digit can be formed.